Answer:
HEY
Step-by-step explanation:
i think so u also dont know the que
Answer:
1. x = 21
2. x = 19
Step-by-step explanation:
Since the interior angles of all quadrilaterals add up to 360, all we have to do is add them up and set them equal to 360. Combine like terms and we get
7x + 213 = 360
Which further turns to 7x = 147
So x = 21
For the second problem, it's the same thing
By the end we get 2x + 8 = 46
2x = 38
x = 19
Hope this helps
Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are
and 
On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

Therefore, the slope of the line is 3. Plug this into
:

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into
:

I hope this helps!
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
Answer:
Triangular Prism
Step-by-step explanation:
Given
The sketch in the attached diagram
Required
Determine the shape it represents
Analyzing the options 1 after the other
Triangular Prism:
This has 5 sides; 2 of which are triangles while the other are rectangles
Rectangular Prism
This, in other words represents a cuboid
Triangular Pyramid
This has 4 sides, all of which are triangles
Rectangular Pyramid
This has 5 sides; 4 of which are triangles while the last is a square of rectangle.
From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing